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Finding the Fourth Proportional to 5,572.32, 7,687.08 and 4,687.80

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Solution

The fourth proportional to 5,572.32, 7,687.08 and 4,687.80 is: 6,466.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.32 : 7,687.08 = 4,687.80 : x
  2. Step 2: Convert to fraction form
    5,572.32/7,687.08 = 4,687.80/x
  3. Step 3: Cross multiply
    5,572.32x = 7,687.08 × 4,687.80
  4. Step 4: Simplify right side
    5,572.32x = 36,035,493.62
  5. Step 5: Solve for x
    x = 36,035,493.62/5,572.32
  6. Step 6: Final answer
    x = 6,466.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.